A spherical fountain has a radius of 1.5 feet. Find the volume of the fountain to the nearest tenth of a cubic foot.

1. Problem Description

A spherical fountain has a radius of 1.5 feet. Find the volume of the fountain to the nearest tenth of a cubic foot.

2. Solution Steps

We are asked to find the volume of a sphere with radius $r = 1.5$ feet.

The formula for the volume of a sphere is given by:

$V = \frac{4}{3}\pi r^3$

Substituting $r = 1.5$ into the formula, we have:

$V = \frac{4}{3}\pi (1.5)^3$

$V = \frac{4}{3}\pi (3.375)$

$V = 4.5\pi$

$V \approx 4.5 \times 3.14159$

$V \approx 14.13715$

Since we need to round the volume to the nearest tenth of a cubic foot, we look at the hundredths place. Since the digit in the hundredths place is 3, which is less than 5, we round down.

$V \approx 14.1$

3. Final Answer

The volume of the fountain is approximately 14.1 cubic feet.